✦ LIBER ✦

Homology of Projective Space over Finite Fields

✍ Scribed by Steve Fisk

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 260 KB
Volume: 78
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1996.2758

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Group Structure on Projective Spaces and

Group Structure on Projective Spaces and Cyclic Codes over Finite Fields

✍ Gilles Lachaud; Isabelle Lucien; Dany-Jack Mercier; Robert Rolland 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 124 KB

We study the geometrical properties of the subgroups of the mutliplicative group of a "nite extension of a "nite "eld endowed with its vector space structure and we show that in some cases the associated projective space has a natural group structure. We construct some cyclic codes related to Reed}M

Sumsets in Vector Spaces over Finite Fie

Sumsets in Vector Spaces over Finite Fields

✍ Shalom Eliahou; Michel Kervaire 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 436 KB

Fermat Curves over Finite Fields and Cyc

Fermat Curves over Finite Fields and Cyclic Subsets in High-Dimensional Projective Spaces

✍ Gábor Korchmáros; Tamás Szőnyi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Let GF(q) be the Galois field of order q"pF, and let m53 be an integer. An explicit formula for the number of GF(qK)-rational points of the Fermat curve XL#½L#ZL"0 is given when n divides (qK!1)/(q!1) and p is sufficiently large with respect to (qK!1)/(n(q!1)).

Secant Spaces and Clifford's Theorem ove

Secant Spaces and Clifford's Theorem over Finite Fields

✍ S.G. Vladuts 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 283 KB

We present here a combinatorial approach to special divisors and secant divisors on curves over finite fields based on their relations with error-correcting codes. Applying to linear systems on curves over finite fields numerous coding theory bounds one gets a lot of bounds on their dimensions. This

Integral Points of Projective Spaces Omi

Integral Points of Projective Spaces Omitting Hyperplanes over Function Fields of Positive Characteristic

✍ Julie Tzu-Yueh Wang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

We apply the S-unit theorem for a function field K with positive characteristic to show that under certain conditions the height of the S-integral points of P n (K)&[2n+2 hyperplanes in general position] is bounded. We also provide examples to show that the conditions are necessary. 1999 Academic P

Isogenies of Drinfeld Modules over Finit

Isogenies of Drinfeld Modules over Finite Fields

✍ J.K. Yu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 415 KB

We classify isogeny classes of Drinfeld modules over a finite field in terms of Weil numbers. A precise result on isomorphism classes in an isogeny class is given for rank \(2 \mathbf{F}_{r}[T]\)-modules. 1995 Academic Press. Inc.